Answer
Diverges
Work Step by Step
Applying limit $n$ approaches to infinity
it diverges since$ \lim\limits_{n \to \infty} a_{n}= \lim\limits_{n \to \infty}$$\frac{((-1)^{n}(n^{2}+1))}{2n^{2}+n-1}$
does not exist .
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 10: Infinite Sequences and Series - Practice Exercises - Page 636: 36
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